CN110672024A - Method for measuring object distance by using object projection in video - Google Patents

Method for measuring object distance by using object projection in video Download PDF

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CN110672024A
CN110672024A CN201910990640.4A CN201910990640A CN110672024A CN 110672024 A CN110672024 A CN 110672024A CN 201910990640 A CN201910990640 A CN 201910990640A CN 110672024 A CN110672024 A CN 110672024A
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point
straight line
distance
projection
ground
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章恺熙
吴昊
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/14Measuring arrangements characterised by the use of optical techniques for measuring distance or clearance between spaced objects or spaced apertures

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  • General Physics & Mathematics (AREA)
  • Length Measuring Devices By Optical Means (AREA)
  • Measurement Of Optical Distance (AREA)

Abstract

The invention provides a method for measuring the distance between objects by using object projection in a video, which comprises the following steps: step S01: establishing a model, setting the point A as the top point of the camera, the point O as the intersection point of the bottom surfaces of the camera, B, C as two measured objects, and respectively setting the projection of B, C and the ground as OB、OCPoint B ' is the projection of point B on the ground in the video picture, point C is the projection of point C on the ground in the video picture, point A is connected with point O by straight line, point A, point B and point B ' are connected by straight line, point A, point C and point C ' are connected by straight line, point O and point OBThe point O and the point B 'are connected by a straight line, and the point O and the point B' are connected by a straight lineCThe point C 'is connected by a straight line, the point B is connected with the point B' by a straight line, and the point B is connected with the point OBConnecting the points C and O in a straight lineCPoint-to-line connection of OBDot and OCConnecting points and straight lines, and completing model establishment; calculated by mathematical calculation of OBOCThe method provided by the invention does not use the data of the two-dimensional coordinates of the original video image, and eliminates the dataThe calculation error caused by the lens distortion is generated.

Description

Method for measuring object distance by using object projection in video
Technical Field
The invention relates to a method for measuring distance, in particular to a method for measuring distance between objects by using projection of the objects in a video.
Background
Currently, there are two main methods for measuring the object distance in a video: firstly, the method is most commonly used when the field measurement is directly carried out, but if the measured object is not in the field, the measurement cannot be carried out; secondly, measuring the length of an object on the same focal plane or near the focal plane, carrying out scale conversion according to the coordinate length of a two-dimensional plane in a picture, wherein the method has certain system errors due to the nonlinear change of lens distortion, and the focal plane is difficult to determine because most cameras look down; thirdly, multiple sets of three-dimensional coordinate data of the shot area are measured in the field, the three-dimensional coordinate data are correlated with the two-dimensional coordinate data in the picture, the mapping relation between the two-dimensional coordinate of the picture and the real three-dimensional coordinate is solved by using affine transformation and the like, so that the three-dimensional coordinate of each unknown point is obtained, and the length is calculated by using a distance formula.
Disclosure of Invention
1. The technical problem to be solved is as follows:
the current method for measuring the distance between objects in a video cannot measure under the condition that the measured object is absent, and has low measurement accuracy due to the calculation error caused by lens distortion.
2. The technical scheme is as follows:
in order to solve the above problems, the present invention provides a method for measuring an object distance by using an object projection in a video, comprising the following steps: step S01: establishing a model, setting the point A as the top point of the camera, the point O as the intersection point of the bottom surfaces of the camera, B, C as two measured objects, and respectively setting the projection of B, C and the ground as OB、OCPoint B ' is the projection of point B on the ground in the video picture, point C is the projection of point C on the ground in the video picture, point A is connected with point O by straight line, point A, point B and point B ' are connected by straight line, point A, point C and point C ' are connected by straight line, point O and point OBThe point O and the point B 'are connected by a straight line, and the point O and the point B' are connected by a straight lineCThe point C 'is connected by a straight line, the point B is connected with the point B' by a straight line, and the point B is connected with the point OBConnecting the points C and O in a straight lineCPoint-to-line connection of OBDot and OCConnecting points and straight lines, and completing model establishment; step S02: the distance between the measurements B 'C' is L, and the height of B, C from the ground is h1、h2AO height H, distance a, B of B 'O, C' O; step S03: application of mathematicsBy calculation of OBDistance of O and OCO distance calculation step S04 calculating cos ∠ B' OC ═ a2+b2-L2(ii) a Step S05: calculating O by mathematical methodBOCThe distance of (c).
In step S03, O is calculated by using a method similar to solid geometry and triangleBA distance of O ofOCA distance of O of
Figure BDA0002238171990000022
In step S05, the mathematical method used is the cosine theorem, OBOCA distance of
Figure BDA0002238171990000023
3. Has the advantages that:
the method provided by the invention constructs a tetrahedron with two surfaces being right-angled triangles by utilizing the relation of three points and one line of a ground projection point, a point to be measured and a camera, and calculates the related quantity relation, so that the data of two-dimensional coordinates of the original video image is not used, and the calculation error generated by lens distortion is eliminated.
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FIG. 1 is a schematic representation of the middle model of the present invention.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings.
The method provided by the invention constructs a tetrahedral model with two right-angled triangles by utilizing the relation of three points and one line of a ground projection point, a point to be measured and a camera, as shown in figure 1, wherein a point A is taken as a vertex of the camera, O is an intersection point of the bottom surface of the camera, B, C is two measured objects, and the projections of B, C and the ground are respectively OB、OCThe point B 'is the projection of the point B on the ground in the video picture, and the point C' is the projection of the point C on the ground in the video pictureShadow, connecting point A and point O with straight line, connecting point A, point B and point B 'with straight line, connecting point A, point C and point C' with straight line, and connecting point O and point OBThe point O and the point B 'are connected by a straight line, and the point O and the point B' are connected by a straight lineCThe point C 'is connected by a straight line, the point B is connected with the point B' by a straight line, and the point B is connected with the point OBConnecting the points C and O in a straight lineCPoint-to-line connection of OBDot and OCAnd connecting points and straight lines, and finishing model building.
Then the distance between the measurements B 'C' is measured as L, and the height of B, C from the ground is measured as h1、h2AO height H, distance a, B of B 'O, C' O;
calculating O by using a solid geometry and triangle similarity methodBA distance of O of
Figure BDA0002238171990000024
OCA distance of O of
Figure BDA0002238171990000025
Then cos ∠ B' OC ═ a is calculated2+b2-L2Finally, the cosine theorem is used to calculate OBOCA distance of
Figure BDA0002238171990000031
The method provided by the invention does not use the data of the two-dimensional coordinates of the original video image, so that the calculation error caused by lens distortion is eliminated, the measurement accuracy is improved, and the calculation method is simple.
Although the present invention has been described with reference to the preferred embodiments, it should be understood that various changes and modifications can be made therein by those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (3)

1. A method for measuring object spacing using object projections in a video, comprising the steps of:step S01: establishing a model, setting the point A as the top point of the camera, the point O as the intersection point of the bottom surfaces of the camera, B, C as two measured objects, and respectively setting the projection of B, C and the ground as OB、OCPoint B ' is the projection of point B on the ground in the video picture, point C is the projection of point C on the ground in the video picture, point A is connected with point O by straight line, point A, point B and point B ' are connected by straight line, point A, point C and point C ' are connected by straight line, point O and point OBThe point O and the point B 'are connected by a straight line, and the point O and the point B' are connected by a straight lineCThe point C 'is connected by a straight line, the point B is connected with the point B' by a straight line, and the point B is connected with the point OBConnecting the points C and O in a straight lineCPoint-to-line connection of OBDot and OCConnecting points and straight lines, and completing model establishment; step S02: the distance between the measurements B 'C' is L, and the height of B, C from the ground is h1、h2AO height H, distance a, B of B 'O, C' O; step S03: calculating O by mathematical methodBDistance of O and OCO distance calculation step S04 calculating cos ∠ B' OC ═ a2+b2-L2(ii) a Step S05: calculating O by mathematical methodBOCThe distance of (c).
2. The method of claim 1, wherein: in step S03, O is calculated by using a method similar to solid geometry and triangleBA distance of O of
Figure FDA0002238171980000011
OCA distance of O of
3. The method of claim 1 or 2, wherein: in step S05, the mathematical method used is the cosine theorem, OBOCA distance of
Figure FDA0002238171980000013
CN201910990640.4A 2019-10-18 2019-10-18 Method for measuring object distance by using object projection in video Pending CN110672024A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111504201A (en) * 2020-05-12 2020-08-07 国网天津市电力公司电力科学研究院 Method for measuring sag of flexible conductor in transformer substation
CN113344899A (en) * 2021-06-25 2021-09-03 北京市商汤科技开发有限公司 Mining working condition detection method and device, storage medium and electronic equipment

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103353300A (en) * 2013-01-06 2013-10-16 罗建刚 Photographing central position or image posture measuring method as well as computing equipment and programming method
CN104236462A (en) * 2013-06-14 2014-12-24 北京千里时空科技有限公司 Method for extracting height and distance of object in video image
CN106482646A (en) * 2016-10-10 2017-03-08 河海大学 Based on the method that slr camera measures object width
CN107328387A (en) * 2017-07-04 2017-11-07 成都康烨科技有限公司 Angle measuring method, device and video camera
CN107462883A (en) * 2017-08-04 2017-12-12 中车青岛四方机车车辆股份有限公司 Method and laser range finder of the measurement point to any dimension plan range in space

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103353300A (en) * 2013-01-06 2013-10-16 罗建刚 Photographing central position or image posture measuring method as well as computing equipment and programming method
CN104236462A (en) * 2013-06-14 2014-12-24 北京千里时空科技有限公司 Method for extracting height and distance of object in video image
CN106482646A (en) * 2016-10-10 2017-03-08 河海大学 Based on the method that slr camera measures object width
CN107328387A (en) * 2017-07-04 2017-11-07 成都康烨科技有限公司 Angle measuring method, device and video camera
CN107462883A (en) * 2017-08-04 2017-12-12 中车青岛四方机车车辆股份有限公司 Method and laser range finder of the measurement point to any dimension plan range in space

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111504201A (en) * 2020-05-12 2020-08-07 国网天津市电力公司电力科学研究院 Method for measuring sag of flexible conductor in transformer substation
CN111504201B (en) * 2020-05-12 2021-11-26 国网天津市电力公司电力科学研究院 Method for measuring sag of flexible conductor in transformer substation
CN113344899A (en) * 2021-06-25 2021-09-03 北京市商汤科技开发有限公司 Mining working condition detection method and device, storage medium and electronic equipment
CN113344899B (en) * 2021-06-25 2023-12-19 北京市商汤科技开发有限公司 Mining working condition detection method and device, storage medium and electronic equipment

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Application publication date: 20200110